Observer-based output feedback control of discrete-time Lur´e systems with sector-bounded slope-restricted nonlinearities

Many well studied classes of dynamical systems such as actuator-constrained linear systems and dynamic artificial neural networks can be written as discrete-time Lur´e systems with sector- bounded and/or slope-restricted nonlinearities. Two types of observer- based output feedback control design methods are presented and analyzed with regard to robustness to model uncertainties and insensitivity to output disturbances. The controller designs are formulated in terms of linear matrix inequalities (LMIs) that are solvable with standard software. The design equations are illustrated in numerical examples.